M. Ostilli

发表

Phase transitions and gaps in quantum random energy models

C. Presilla, M. Ostilli, 2010, Physica A: Statistical Mechanics and its Applications.

Communication and correlation among communities.

J. Mendes, M. Ostilli, 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

Ising spin glass models versus Ising models: an effective mapping at high temperature: I. General result

M. Ostilli, 2006, cond-mat/0607498.

Thermalization of the Lipkin-Meshkov-Glick model in blackbody radiation

C. Presilla, M. Ostilli, T. Macrì, 2016, 1611.06720.

1D Three-state mean-field Potts model with first- and second-order phase transitions

M. Ostilli, F. Mukhamedov, 2012, 1205.6777.

Quantum Ising chains with small-world couplings: No small-world effect at the quantum level; Stability of the quantum critical point

M. Ostilli, 2019, 1912.01406.

Statistical mechanics of random geometric graphs: Geometry-induced first-order phase transition.

Ginestra Bianconi, Massimo Ostilli, G. Bianconi, 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

Fluctuations of motifs and non–self-averaging in complex networks: A self- vs. non–self-averaging phase transition scenario

M. Ostilli, 2013, 1306.5565.

Emergence of chaos in interacting communities

M. Ostilli, W. Figueiredo, 2014 .

Critical states in Political Trends. How much reliable is a poll on Twitter?

M. Ostilli, L. Nicolao, 2019, Physica A: Statistical Mechanics and its Applications.

Absence of small-world effects at the quantum level and stability of the quantum critical point.

M. Ostilli, 2020, Physical review. E.

Phase diagram of an Ising model with competitive interactions on a Husimi tree and its disordered counterpart

J. Mendes, M. Ostilli, F. Mukhamedov, 2006, cond-mat/0611654.

Ground state of many-body lattice systems via a central limit theorem

C. Presilla, M. Ostilli, 2004, cond-mat/0411225.

Ground state of many-body lattice systems: an analytical probabilistic approach

C. Presilla, M. Ostilli, 2004, cond-mat/0407756.

An analytical probabilistic approach to the ground state of lattice quantum systems: exact results in terms of a cumulant expansion

C. Presilla, M. Ostilli, 2004, cond-mat/0412157.

Phase diagram of an Ising model with competitive interactions on a Husimi tree and its disordered counterpart

J. Mendes, M. Ostilli, F. Mukhamedov, 2006, cond-mat/0611654.

Ising spin glass models versus Ising models: an effective mapping at high temperature: II. Applications to graphs and networks

M. Ostilli, 2006, cond-mat/0607518.

Finite temperature quantum condensations in the space of states: general proof

C. Presilla, M. Ostilli, 2022, Journal of Physics A: Mathematical and Theoretical.

First-order quantum phase transitions as condensations in the space of states

C. Presilla, M. Ostilli, 2017, Journal of Physics A: Mathematical and Theoretical.

On the probabilistic approach for Gaussian Berezin integrals

M. Ostilli, 2003, cond-mat/0301462.

Small World

J. Mendes, M. Ostilli, Martin Suter, 2002 .

A perturbative probabilistic approach to quantum many-body systems

C. Presilla, M. Ostilli, Andrea Di Stefano, 2012, 1210.3976.

Criticality and Chaos in Systems of Communities

M. Ostilli, W. Figueiredo, 2015, 1509.07405.

Emergence of chaos in interacting communities

M. Ostilli, W. Figueiredo, 2014, 1410.7451.

Ising spin glass models versus Ising models: an effective mapping at high temperature: III. Rigorous formulation and detailed proof for general graphs

M. Ostilli, 2007, 0706.1949.

Cayley Trees and Bethe Lattices: A concise analysis for mathematicians and physicists

M. Ostilli, 2011, 1109.6725.

Wigner Crystallization of Electrons in a One-Dimensional Lattice: A Condensation in the Space of States.

Massimo Ostilli, Carlo Presilla, C. Presilla, 2019, Physical review letters.

Exact Monte Carlo time dynamics in many-body lattice quantum systems

C. Presilla, M. Ostilli, 2004, cond-mat/0407758.

Statistical mechanics of rumour spreading in network communities

Pietro Liò, Jon Crowcroft, Eiko Yoneki, 2010, ICCS.

Ising model of rumour spreading in interacting communities

Pietro Liò, Jon Crowcroft, Eiko Yoneki, 2010 .

Phase transition and annealing in quantum random energy models

Massimo Ostilli, Carlo Presilla, C. Presilla, 2010 .

Asymptotic lower bound for the gap of Hermitian matrices having ergodic ground states and infinitesimal off-diagonal elements

C. Presilla, M. Ostilli, 2015, 1512.08271.

Spectrum of the tight-binding model on Cayley trees and comparison with Bethe lattices.

G. Viswanathan, M. Ostilli, C. Bezerra, 2021, Physical review. E.

Duality between equilibrium and growing networks.

Dmitri Krioukov, Massimo Ostilli, M. Ostilli, 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

Finite temperature quantum condensations in the space of states: general proof

C. Presilla, M. Ostilli, 2022, Journal of Physics A: Mathematical and Theoretical.

Finite-temperature quantum condensations in the space of states: A different perspective on quantum annealing

C. Presilla, M. Ostilli, 2022, Physical Review A.

Finite temperature quantum condensations in the space of states

C. Presilla, M. Ostilli, 2022 .